A mass \( m \) is attached to a pulley through a cord as shown in t...

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A mass \( m \) is attached to a pulley through a cord as shown in the fig. The pulley is a solid disk with radius \( \mathrm{R} \). The cord does not slip on the disk. The mass is released from rest at a height
\( \mathrm{P} \) \( \mathrm{h} \) from the ground and at the instant the mass reaches the ground, the disk is rotating with angular velocity \( \omega \). Find the mass of the disk.
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